Inverse Functions - PowerPoint PPT Presentation

Inverse Functions . End In Mind. Prove that and are inverses of each other Complete warm up individually and then compare to a neighbor. Vocabulary . Function: a relation in which each input x has exactly 1 output y

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Inverse of a Function: The inverse function is a function that undoes another function: If an input x in the function ƒ produces an output y, then putting y into the inverse function g produces the output x, and vice versa.

One to One: A function is one to one if every output y, has exactly 1 input x.

Horizontal Line Test - A function f is one to one if and only if each horizontal line intersects the graph at most once.

Composition of Functions: is the process of combining two functions where one function is performed first and the result of which is substituted in place of each x in the other function. The composition of functions f and g is written as f o g. [f o g](x) = f[g(x)]